Let:
x = number of hours babysitting
So far she has saved $400, and she needs to save at least $1100
Therefore, the inequality which represents this situation is:
[tex]400+12x\ge1100[/tex]In case you need to solve for x:
[tex]\begin{gathered} \text{Subtract 400 from both sides:} \\ 12x\ge1100-400 \\ 12x\ge700 \\ \text{Divide both sides by 12:} \\ x\ge\frac{700}{12}=58.33 \\ x\ge58.33 \end{gathered}[/tex]Therefore, Alexis needs to work at least 58.33 hours in order to buy her new laptop
